In right triangle JKL, ZL is a right angle, mZJ = 62°, and JK = 17.
sin 62° 0.88
cos 62° 0.47
tan 62° 1.88
© 2019 StrongMind. Created using GeoGebra.
What is the measurement of JL?
If necessary, round your answer to one decimal place, like this: 42.5

Answers

Answer 1

Please the attachment for question.

Answer:

Measurement of JL=8

Step-by-step explanation:

Given:-

[tex]\triangle JKL\ is\ right\ angle\ triangle[/tex]

[tex]m\angle J=62\ degree[/tex]

JK=17

[tex]sin\ 62\ degree= 0.88[/tex]

[tex]cos\ 62\ degree= 0.47[/tex]

[tex]tan\ 62\ degree= 1.88[/tex]

To find measurement of JL=?

Now,

[tex]cos\theta=\frac{adjacent\ side}{hypotenuse}[/tex]

[tex]cos\ 62\ degree=\frac{JL}{17}[/tex]

[tex]0.47=\frac{JL}{17}[/tex]

[tex]JL=0.47\times 17[/tex]

[tex]JL=7.99[/tex]

[tex]JL=8[/tex]

Therefore measurement of JL=8

In Right Triangle JKL, ZL Is A Right Angle, MZJ = 62, And JK = 17.sin 62 0.88cos 62 0.47tan 62 1.88 2019

Related Questions

Y=7 what type of line

Answers

Answer:

Horizontal line or the technical name: Zero slope.

Step-by-step explanation:

When graphed, the line comes out horizontally, and horizontal lines are called zero slopes.

Step-by-step explanation:

y = a

a - any real number

This is the equation of the horizontal line passing through the points in the form (x, a), where x is any real number.

A slope of a horizontal line is equal 0.

y = 7

It's a horizontal line passing through the points in the form (x, 7).

Look at the picture.

The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each.

Answers

The expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)

Solution:

Given that The total cost to go horseback riding is "x" dollars per hour plus a $3 fee for renting a helmet.

total cost = $ 3 + "x" dollars per hour

To find: expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each.

Let us first find the total cost for 1 person to horse ride for 2 hours

total cost for 1 person = $ 3 + 2x

Thus to find total cost for 5 people to go horseback riding for 2 hours each is found by multiplying the above expression by 5

Total cost for 5 people = 5 x total cost for 1 person

[tex]\text{ Total cost for 5 people } = 5 \times (3 + 2x)[/tex]

[tex]\text{ Total cost for 5 people } = 15 + 10x[/tex]

Thus the expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)

Is this statement true or false?
Slope is calculated by dividing the change in rise by the change in run.

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

simplify each expression 1/3^-3

Answers

Answer:

27

Step-by-step explanation:

Use exponent laws

1/3^-3 = 3^3 = 27

What is the value of x?
D x= 2.25
DX = 11.25
0 x = 13
0 x = 22

Answers

Answer:

[tex]x=22[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The exterior angle is the sum of the 2 opposite interior angles of a triangle

so

In this problem

[tex](6x+1)^o=79^o+(2x+10)^o[/tex]

solve for x

Combine like terms

[tex]6x+1=89+2x[/tex]

Group terms

[tex]6x-2x=89-1[/tex]

[tex]4x=88[/tex]

divide by 4 both sides

[tex]x=22[/tex]

Can someone plzzz help me with number 8 plzz show work plzzzz

Answers

Answer:

x = 7,  y = 28

Step-by-step explanation:

We're given that ABCD is a rectangle, so we know that all sides opposite from each others are equal in length. This also means that each part of the criss-cross-X thing inside the rectangle are equal in length to each others as well. (AE = BE = DE = CE).

AC = 100 from the given picture, which means half of that from AE would be 50. Since DE is the same length as AE, we can set x²+1 = 50 and solve for x. We get x = 7.

To solve for y, we know that opposite sides of a rectangle are of the same length. So AD = BC.

The question already gave us the equation for those sides so we just need to set them equal to each other.

2y + 5 = 3y - 23

sovle for it and you get y = 28.

Write as many fractions as you can that are greater than one and less than two, with a denominator of three

Answers

Step-by-step explanation:

hwjxh ejdowbvrnrks n.v eveid

What is the answer ?

Answers

Answer:

    31415 92653

Step-by-step explanation:

The result of the integral is π. The first 30 digits of π are ...

  3.14159 26535 89793 23846 26433 8327 ...

_____

Pi is a transcendental number. Not only is it irrational, but it is not the root of any polynomial with rational real coefficients. It is not a repeating decimal.

A radio station asks its listeners to call in their opinion regarding the closing of fire stations in the city. Identify the sampling method used, and explain why this sample could be biased.

Answers

Answer:

A convenience sample is used. The sample could be biased because it limits the population to listeners of that radio station at a certain time. Callers may be more likely to have a strong opinion on the issue.

Answer:

A convenience sample is used. The sample could be biased because it limits the population to listeners of that radio station at a certain time. Callers may be more likely to have a strong opinion on the issue.

Step-by-step explanation:

It limits population to listeners of that radio station at only a particular time



Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s statement.


6x + 4y = 14,

3x + 2y = k

Answers

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

The error in Percy's statement is that, the system of equations would have infinite many solutions when k = 7

The system of equations is given as:

6x + 4y = 14,

3x + 2y = k

Multiply the second equation by 2

[tex]3x + 2y = k \to 6x + 4y = 2k[/tex]

Subtract the new equation, from the first equation

[tex]6x - 6x + 4y - 4y =14 -2k[/tex]

[tex]0=14 -2k[/tex]

Collect like terms

[tex]2k = 14[/tex]

Solve for k

[tex]k = 7[/tex]

The above means that:

The system of equations would have infinite many solutions when k = 7

Read more about system of equations at:

https://brainly.com/question/14323743

10 POINTS!!!
13. A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability.
choosing a red chip, then a green chip, then a yellow chip, with replacement

Answers

Answer:

shown in steps, either 189/15625 or 63/4600 depends on different situation

Step-by-step explanation:

The answer depends on whether the is chip can be put into bin for next pick,

if it can be put back after first pick.. the possibility will be

total chips: 7 + 9 + 3 + 6 = 25

Red -> green -> yellow 7/25 x 9/25 x 3/25 = 189/15625

If the first time picked chip will not put back for second pick:

7/25 x 9/24 x 3/23 = 63/4600

Answer:

A. [tex]\frac{189}{15625}[/tex]

Step-by-step explanation:

I got it right!!

rick school is 30 miles from the hostipital. the school and hospital are 3/5inch apart on an online map.the hostipal is 4 inches from the airport on the map. hom far from the hostpital is the airport?

Answers

Answer: 200 miles

Step-by-step explanation: 1/5 is equal to 10miles so you 5/5 is 50 miles or 1 inch on the map.

Final answer:

The distance from the hospital to the airport on the map is 18 inches.

Explanation:

To find the distance from the hospital to the airport, we can use the scale of the map. Since the school and hospital are 3/5 inch apart on the map, and the school is 30 miles away from the hospital, we can set up the proportion:

3/5 inch = 30 miles

x inch = distance from hospital to airport

Cross-multiplying, we get 5x = 3 * 30

x = 18

Therefore, the distance from the hospital to the airport is 18 inches on the map.

-5q- -9q - -14=2 solve for q

Answers

Answer:

q  =  − 1 \6

Step-by-step explanation:

q  =  − 0.1 6 ¯  6

Make x the subject:

1. ax + 2d = 2cx + 5b

Answers

Answer:

x = [tex]\frac{5b-2d}{a-2c}[/tex]

Step-by-step explanation:

Given

ax + 2d = 2cx + 5b (subtract 2d from both sides )

ax = 2cx + 5b - 2d ( subtract 2cx from both sides )

ax - 2cx = 5b - 2d ← factor out x from each term on the left side

x(a - 2c) = 5b - 2d ← divide both sides by (a - 2c)

x = [tex]\frac{5b-2d}{a-2c}[/tex]

The value of x is x = (5b - 2d )/(a - 2c)

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

ax + 2d = 2cx + 5b

Now subtract 2d from both sides;

ax = 2cx + 5b - 2d

Then subtract 2cx from both sides;

ax - 2cx = 5b - 2d

Now factor out x from each term on the left side

x(a - 2c) = 5b - 2d

Now divide both sides by (a - 2c)

x = (5b - 2d )/(a - 2c)

To know more about an expression follow;

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what is an equation of the line passing through the points (3,2) and (-1,-14)

Answers

We need to find the slope and the y-intercept to get an equation.

slope=change in y/change in x... or "(y2-y1)/(x2-x1)"

slope=(2-(-14))/(3-(-1))=16/4=4

Equation of a line:y=mx+b

Plug in a point and solve for b, the y intercept.

2=4(3)+b

b=-10

Answer: y=4x-10

To the nearest tenth, what is the distance between the point (10, -11) and (-1, -5)

Answers

Final answer:

The distance between the points (10, -11) and (-1, -5) is approximately 12.5 units.

Explanation:

The distance between two points can be found using the Distance Formula.

The formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (10, -11) and (-1, -5), we can plug the values into the formula:

distance = sqrt((-1 - 10)^2 + (-5 - (-11))^2)

distance = sqrt((-11)^2 + (6)^2)

distance = sqrt(121 + 36)

distance = sqrt(157)

To the nearest tenth, the distance is approximately 12.5 units.

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adults tickets and 2 youth tickets. What is the price of a youth ticket?

Answers

The price of 1 youth ticket is $ 22

Solution:

Let "y" be the price of 1 youth ticket

Let "a" be the price of 1 adult ticket

To find: price of 1 youth ticket

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park

So we can frame a equation as:

2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134

[tex]2 \times a + 3 \times y = 134[/tex]

2a + 3y = 134 ---- eqn 1

Max's family spent $146 on 3 adults tickets and 2 youth tickets

So we can frame a equation as:

3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146

[tex]3 \times a + 2 \times y = 146[/tex]

3a + 2y = 146 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "y"

Multiply eqn 1 by 3

6a + 9y = 402 ---- eqn 3

Multiply eqn 2 by 2

6a + 4y = 292 ----- eqn 4

Subtract eqn 4 from eqn 3

6a + 9y = 402

6a + 4y = 292

( - ) -------------------

5y = 110

y = 22

Thus the price of 1 youth ticket is $ 22

(4x+7) and [5(x-4)} what is the value of x

Answers

Answer:

The value of x is 27

Complete question and statement:

(4x + 7) = [5(x - 4)} what is the value of x?

Source: Previous question that can be found at brainly

Step-by-step explanation:

Let's solve for x, (4x + 7) = [5(x - 4)]

(4x + 7) = [5x - 20]

4x + 7 = 5x - 20

4x - 5x = - 20 - 7 (Subtracting - 5x and - 7 at both sides)

- x = - 27

x = 27 (Multiplying by -1 at both sides)

The value of x is 27

How many times could 6 go into 49

Answers

6 can go into 49, 8 times

6 goes into 49 8 times with a remainder of 1.

What is the least number of drops of red, blue, and yellow pigment that Ava
can add to a gallon of white paint so that the custom color consists of 25%
red, 35% blue, and 40% yellow pigment?

Answers

Answer:

5 red, 7 blue and 8 yellow

Step-by-step explanation:

Just make a ratio and simplify

Red : Blue : Yellow

25 : 35 : 40

All divisible by 5

5 : 7 : 8

These dont have a common factor so this is the simplest ratio

Therefore the minimum drops Ava can add to a gallon of white paint to have that ratio are 5 red drops, 7 blue drops and 8 yellow drops.

What is the greatest number of y-intercepts a line can have? Explain

Answers

Answer:

infinity

Step-by-step explanation: it keeps going

PLEASE HELP SOLVE
1.-8p - 7 ≥ - 5 - 5p - 4p p ≥
2.r - 1 ≤ - 8 + 2r r ≥
3.a + 6 < 6 + 2a a >
4.16 - 4x + 1 + 5 < 1 + x + 2x x >

Answers

Answer:

1) p > or =3

2)7< or = r

3)a<0

4) 3< x

Step-by-step explanation:

follow on the attached picture

Which shows the decimals 10.9, 1.09, and 100.09 written in order from least to greatest?

Answers

Answer: From least to greatest, we get: 0.6010, 6.010, 6.100. Ordering these decimals from least to greatest we get: 0.601, 6.01, 6.1. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.

Step-by-step explanation:

You purchased 6 items at the 2-Dollar Store costing $1.98, $.59, $2.99, $.99, $2.49, and $.49. What is the mean price of your purchased items?

Answers

Answer:

$1.58

Step-by-step explanation:

Final answer:

To find the mean price, add up all the prices and divide by the number of items. The mean price of your purchased items is $1.59.

Explanation:

To find the mean price of the purchased items, you need to add up all the prices and then divide by the number of items. In this case, you purchased 6 items. So, you add $1.98 + $0.59 + $2.99 + $0.99 + $2.49 + $0.49 = $9.53. Then, you divide $9.53 by 6 to get the mean price which is $1.59.

Learn more about Mean Price here:

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by what would you multiply each side of the equation ax=27 to solve x

Answers

Answer:

Step-by-step explanation:

ax= 27........I would normally solve this by division....but it says multiply....so multiply both sides by 1/a

example :

3x = 27.....multiply both sides by 1/3

1/3(3/1)x = 27 * 1/3

x = 27/3 which reduces to 9

u have to multiply by the reciprocal of a to get rid of a

- its explained well on top


A bulletin board has a perimeter of 200 inches. Which equation expresses the area A(w) of the bulletin board as a function of its width, w?
A. A(w) = 100w - w2
B. A(w) = 200w - w2
C. A(w) = w2 – 100w
D. A(w)=w2 - 200w​

Answers

Final answer:

The equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w².

Explanation:

To express the area A(w) of the bulletin board as a function of its width, we need to find the equation that relates the width to the area. Since the perimeter of the bulletin board is given as 200 inches, we can use the formula for the perimeter of a rectangle: P = 2w + 2l, where w is the width and l is the length. Since the bulletin board is assumed to be a rectangle, the length is equal to the width. We can rewrite the formula as 2w + 2w = 200, which simplifies to 4w = 200. Solving for w, we find w = 50.

Now that we know the width, we can express the area A(w) as a function of w. Since the area of a rectangle is given by the formula A = length * width, and the length is equal to the width in this case, we have A(w) = w * w = w².

The correct equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w², which corresponds to option D.

Solve. 4y – 3 = 5y + 2
–5

–3

5

45

Answers

Answer:

y = - 5

Step-by-step explanation:

Given

4y - 3 = 5y + 2 ( subtract 5y from both sides )

- y - 3 = 2 ( add 3 to both sides )

- y = 5 ( multiply both sides by - 1 )

y = - 5

How do I Graph y=  –73x+2 .

Answers

Answer:

See attachment

Step-by-step explanation:

You can obtain any two points on the graph of [tex]y=-73x+2[/tex] and use it to draw its graph.

When x=0, [tex]y=-73*0+2=2[/tex]

So you plot (0,2)

When x=1, [tex]y=-73*1+2=-71[/tex]

You again plot (1,-71).

With a straight edge you can now draw a straight line through the two points.

See attachment

Solve the system by elimination. −7x+y=−19 −2x+3y=−19

Answers

x=2 y=-5 see photo for work

Answer:

x=2, y=-5. (2, -5).

Step-by-step explanation:

-7x+y=-19

-2x+3y=-19

--------------------

-3(-7x+y)=-3(-19)

-2x+3y=-19

----------------------

21x-3y=57

-2x+3y=-19

-------------------

19x=38

x=38/19

x=2

-7(2)+y=-19

y=-19-(-14)

y=-19+14=-5

what is the solution to the equation below? Round your answer to two decimal places. 4*e^x=12.76

Answers

Answer:

[tex]x=1.16[/tex]

Step-by-step explanation:

we have

[tex]4(e^x)=12.76[/tex]

Solve for x

That means ---> Isolate the variable x

Divide by 4 both sides

[tex](e^x)=3.19[/tex]

Apply ln both sides

[tex]ln[(e^x)]=ln(3.19)[/tex]

Apply property of logarithms (power rule) left side

[tex](x)ln(e)=ln(3.19)[/tex]

Remember that

[tex]ln(e)=1[/tex]

[tex]x=ln(3.19)[/tex]

[tex]x=1.16[/tex]

Answer:1.16

Step-by-step explanation:

this is correct

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